Question: If f is a polynomial function, and f(a) and f(b) have opposite signs, what must occur between a and b? If f(a) and f(b) have

If f is a polynomial function, and f(a) and f(b) have opposite signs, what must occur between a and b? If f(a) and f(b) have the same sign, does it necessarily mean that this will not occur? Explain your answer.

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